Classification of Roberts actions of strongly amenable C^* tensor categories on the injective factor of type III_1

preprint2016arXivOpen access

In this paper, we generalize Izumi's result on uniqueness of realization of finite C $^*$ -tensor categories in the endomorphism category of the injective factor of type II_1 for finitely generated strongly amenable C $^*$ -tensor categories by applying Popa's classification theorem of strongly amenable subfactors of type III_1.

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Classification of Roberts actions of strongly amenable C^* tensor categories on the injective factor of type III_1

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